The limit of vanishing viscosity for doubly nonlinear parabolic equations

We show that solutions of the doubly nonlinear parabolic equation partial derivative b(u)/partial derivative t - epsilon div(a(del u)) + div (f(u)) = g converge in the limit epsilon SE arrow 0 of vanishing viscosity to an entropy solution of the doubly nonlinear hyperbolic equation partial derivative b(u)/partial derivative t + div (f(u)) = g. The difficulty here lies in the fact that the functions a and b specifying the diffusion are nonlinear.